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Finding the Fourth Proportional to 412,051.55, 568,604.07 and 230,721.91

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Solution

The fourth proportional to 412,051.55, 568,604.07 and 230,721.91 is: 318,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,051.55 : 568,604.07 = 230,721.91 : x
  2. Step 2: Convert to fraction form
    412,051.55/568,604.07 = 230,721.91/x
  3. Step 3: Cross multiply
    412,051.55x = 568,604.07 × 230,721.91
  4. Step 4: Simplify right side
    412,051.55x = 131,189,414,489.05
  5. Step 5: Solve for x
    x = 131,189,414,489.05/412,051.55
  6. Step 6: Final answer
    x = 318,381.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.